Stabilization of wave equations on the torus with rough dampings
From MaRDI portal
Publication:2020197
DOI10.2140/paa.2020.2.627zbMath1462.35070arXiv1801.00983OpenAlexW3106527996MaRDI QIDQ2020197
Publication date: 23 April 2021
Published in: Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.00983
Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Pseudodifferential operators as generalizations of partial differential operators (35S05) Initial-boundary value problems for second-order hyperbolic equations (35L20) Pseudodifferential and Fourier integral operators on manifolds (58J40) PDEs in connection with control and optimization (35Q93)
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Cites Work
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- Bilinear Kakeya-Nikodym averages of eigenfunctions on compact Riemannian surfaces
- Control for Schrödinger operators on 2-tori: rough potentials
- Resolvent conditions for the control of unitary groups and their approximations
- Kakeya-Nikodym averages and \(L^p\)-norms of eigenfunctions
- Deuxième microlocalisation sur les sous variétés isotropes
- High-frequency propagation for the Schrödinger equation on the torus
- Ergodic properties of eigenfunctions for the Dirichlet problem
- A Landau-Zener formula for non-degenerated involutive codimension 3 crossings
- Refraction of high-frequency waves density by sharp interfaces and semiclassical measures at the boundary
- Asymptotic distribution of resonances for convex obstacles
- Two scale analysis of a bounded family in \(L^2\) on a submanifold of the phase space.
- Oscillations of concentration effects in semilinear dispersive wave equations
- Théorie de la deuxième microlocalisation dans le domaine complexe
- Refined and microlocal Kakeya-Nikodym bounds for eigenfunctions in two dimensions
- Energy decay for damped wave equations on partially rectangular domains
- Eigenfrequencies and expansions for damped wave equations
- Control for Schrödinger operators on tori
- Energy decay for a locally undamped wave equation
- Sharp polynomial decay rates for the damped wave equation on the torus
- Semiclassical measures for the Schrödinger equation on the torus
- Mesures semi-classiques et croisement de modes
- Laplace Eigenfunctions and Damped Wave Equation on Product Manifolds
- Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
- Decay of solutions to nondissipative hyperbolic systems on compact manifolds
- Spectral Theory for Contraction Semigroups on Hilbert Space
- Réfraction d'ondes semi-classiques par des interfaces franches
- Condition nécessaire et suffisante pour la contrôlabilité exacte des ondes
- Geometric control in the presence of a black box
- Mesures semi-classiques 2 -microlocales
- Quantification asymptotique et microlocalisations d'ordre supérieur. I
- On the spectrum of hyperbolic semigroups
- A semi-classical picture of quantum scattering
- Bouncing Ball Modes and Quantum Chaos
- Stabilization of damped waves on spheres and Zoll surfaces of revolution
- Observability properties of the homogeneous wave equation on a closed manifold
- Asymptotic distribution of eigenfrequencies for damped wave equations
